Search a number
-
+
28144607800 = 23522342114533
BaseRepresentation
bin11010001101100011…
…001010001000111000
32200122110001012202111
4122031203022020320
5430120004422200
620532432342104
72014310135101
oct321543121070
980573035674
1028144607800
1110a32996451
1255556a4934
132866b7c4aa
14150dc733a8
15aeaccd0ba
hex68d8ca238

28144607800 has 96 divisors (see below), whose sum is σ = 68448163680. Its totient is φ = 10742054400.

The previous prime is 28144607797. The next prime is 28144607819. The reversal of 28144607800 is 870644182.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1929334 + ... + 1943866.

It is an arithmetic number, because the mean of its divisors is an integer number (713001705).

Almost surely, 228144607800 is an apocalyptic number.

28144607800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28144607800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224081840).

28144607800 is an abundant number, since it is smaller than the sum of its proper divisors (40303555880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28144607800 is a wasteful number, since it uses less digits than its factorization.

28144607800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 28144607800 in words is "twenty-eight billion, one hundred forty-four million, six hundred seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 421 460 575 842 920 1150 1684 2105 2300 3368 4210 4600 8420 9683 10525 14533 16840 19366 21050 29066 38732 42100 48415 58132 72665 77464 84200 96830 116264 145330 193660 242075 290660 334259 363325 387320 484150 581320 668518 726650 968300 1337036 1453300 1671295 1936600 2674072 2906600 3342590 6118393 6685180 8356475 12236786 13370360 16712950 24473572 30591965 33425900 48947144 61183930 66851800 122367860 140723039 152959825 244735720 281446078 305919650 562892156 611839300 703615195 1125784312 1223678600 1407230390 2814460780 3518075975 5628921560 7036151950 14072303900 28144607800